1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lana71 [14]
3 years ago
14

Prove that (2n+5)^2-(11-4n)^2 is divisible by 12, if n is an integer.

Mathematics
1 answer:
Olegator [25]3 years ago
3 0

Answer:

steps below

Step-by-step explanation:

(2n+5)²-(11-4n)² = (4n²+20n+25) - (121-88n+16n²)

= -12n²+108n-96

= 12(-n²+9n-8) .... multiple of 12

You might be interested in
How do i do this? Its confusing
cestrela7 [59]

Answer:

$12,415.48

Step-by-step explanation:

A = P (1 + r/n)^(nt)

where A is the final amount,

P is the initial amount,

r is the annual interest rate as a decimal,

n is the number of compoundings per year,

and t is the number of years.

A = 8000 (1 + 0.152/2)^(2×3)

A = 8000 (1.076)^6

A = 12415.48

5 0
3 years ago
P(7, 10) and Q(9, 6) are the endpoints of a line segment. What is the midpoint M of that line segment?
Svet_ta [14]

Answer:

(8,8)

Step-by-step explanation:

7 0
4 years ago
I need help again please
masya89 [10]
Distance=speed times time
distance/time=speed

distance=538
time=9 and 15mins
60mins=1hr
15/60=1/4=0.25

time=9.25hr


distance/time=538/9.25=58.162mph
about 58mph
7 0
3 years ago
Read 2 more answers
What's 22 + 4? ghdjdhsbsjs
Debora [2.8K]

Answer:LOL 26

Step-by-step explanation: 22=4 IS LIKE EASY BUT IF YOU FORGOT THEN THATS FINE

4 0
4 years ago
What is the difference in Fahrenheit degrees between a temperature of 0C and a temperature of 15C?
slamgirl [31]

Answer:

27^{\circ}F

Step-by-step explanation:

Use formula

F=1.8C+32

to convert Celsius to Fahrenheit.

When C_1=0^{\circ}C, then

F_1=1.8\cdot 0+32\\ \\F_1=32^{\circ}F

When C_2=15^{\circ}C, then

F_2=1.8\cdot 15+32\\ \\F_2=27+32=59^{\circ}F

Difference:

F_2-F_1=59^{\circ}F-32^{\circ}F=27^{\circ}F

8 0
3 years ago
Other questions:
  • This is more than one answer can I get help pleaseee
    15·2 answers
  • at noon Aretha can watch a football game a basketball game or a documentary about horses on tv .at 3:00she can watch a different
    7·1 answer
  • Am I correct on number 3
    10·1 answer
  • Can someone help me What do I do with the -300 and the 2 do I simplify it or???
    9·1 answer
  • if the measure of an angle is 30 degrees more than the measure of its supplement, what is the measure of each angle?
    5·1 answer
  • The square is 90 degrees & the triangle has 180 degree but I need help to solve
    13·1 answer
  • How to add the integers -7 and -5 plzzz help
    9·2 answers
  • It took 30 minutes for Melinda to run 4 miles
    11·1 answer
  • What is the median of the following data set:<br> 17, 25, 19, 18, 24, and 32
    7·1 answer
  • Which function is graphed below?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!